We illustrate some novel contraction and regularizing properties of the Heat flow in metric-measure spaces that emphasize an interplay between Hellinger-Kakutani, Kantorovich-Wasserstein Hellinger-Kantorovich distances. Contraction Hellinger-Kakutani distances general Csiszár divergences hold arbitrary do not require assumptions on linearity flow. style='text-indent...

Previously, we reported that hyposmotic swelling evoked transient vascular smooth muscle cell (SMC) contraction that was completely abolished by L-type Ca(2+) channel blockers. In contrast, sustained contraction revealed in hyper- and isoosmotically-shrunken SMCs was insensitive to L-type channel blockers and was diminished in Ca(2+)-free medium by only 30-50%. Several research groups reported ...

Adenosine as a possible mediator of active hyperemia in skeletal muscle was studied in hindlimbs of dogs. Sciatic nerve stimulation decreased vascular resistance to 55 +/- 5% (mean +/- SE) of the control value in hindlimbs perfused at a constant flow rate (61 +/- 6 ml/min). Venous plasma K+ concentrations were elevated after 2 min (from 4.0 +/- 0.2 to 4.8 +/- 0.2 meq/liter; P is less than 0.005...

Receptor-mediated airway smooth muscle (ASM) contraction via G(alphaq), and relaxation via G(alphas), underlie the bronchospastic features of asthma and its treatment. Asthma models show increased ASM G(alphai) expression, considered the basis for the proasthmatic phenotypes of enhanced bronchial hyperreactivity to contraction mediated by M(3)-muscarinic receptors and diminished relaxation medi...

we investigated contraction to noradrenaline (na) and kc1 and sensitivity of na at the level of larger vessels (thoracic aorta and vena cava; left renal artery and left renal vein; lateral saphenous artery and lateral saphenous vein and finally central ear artery and marginal ear vein) in a model devised to mimic heart failure. the model presented here is the rabbit coronary ligation model in w...

We study the decay of correlations for towers. Using Birkhoff’s projective metrics, we obtain a rate of mixing of the form: cn(f, g) ≤ Ctα(n)‖f‖ ‖g‖1 where α(n) goes to zero in a way related to the asymptotic mass of upper floors, ‖f‖ is some Lipschitz norm and ‖g‖1 is some L1 norm. The fact that the dependence on g is given by an L1 norm is useful to study asymptotic laws of successive entranc...

in this paper we present a diferent proof of a well known asymptotic estimate for Laplace integrals. The novelty of our approach is that it emphasizes, and rigorously justifies, the appealing heuristic method of Laplace. As a bonus, we also obtain a simple and short proof of Watson’s Lemma. Let a be an element of the extended real number set [−∞,∞]. If lim x−→a f(x)/g(x) = 1 we write f(x) ∼ g(x...

We consider the weakly asymmetric exclusion process on $d$-dimensional torus. prove a large deviations principle for time averaged empirical density and current in joint limit which both interval number of particles diverge. This result is obtained by analyzing variational convergence, as diverges, Donsker-Varadhan functional considering behavior hydrodynamical rate function. The asymptotic the...